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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2010 Volume 16, Number 2, Pages 253–257 (Mi timm566)

The degree of a cellular map of a rectangle to a three-link band

Yu. A. Shashkin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: It is known that the degree of a simplicial triangulation map in Sperners lemma is equal to 1. It is proved similarly that the degree of a cellular map of a rectangle to a three-link band is equal to 3.

Keywords: Sperner's lemma, simplicial map, cellular map of a rectangle.

UDC: 519.6

Received: 16.04.2009



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